IXL - Domain and range of linear functions: word problems (Algebra 1 practice)

Paul works for a landscaping company during his school breaks. To prepare for a day of work, he fills his leaf blower with 2 gallons of fuel, which will last for 4 hours of use. The function

(

)

represents the amount of fuel, in gallons, remaining in the leaf blower after

hours of use.

What is the domain of

(

)

all real numbers from 0 to 2

all whole numbers from 0 to 4

all real numbers from 0 to 4

all whole numbers from 0 to 2

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question

Marvin works as a dishwasher at the Park Street Banquet Hall. Before an event he must wash 10 salad plates for each table that is being set up in the hall. Depending on the event, the hall will set anywhere from 20 to 50 tables. The function

(

)

represents the number of plates Marvin must wash for an event with

tables.

What is the domain of

(

)

all multiples of 10

all whole numbers from 20 to 50

all whole numbers from 0 to 50

all multiples of 10 from 200 to 500

key idea

The domain of a function is the set of all possible input values.

The range of a function is the set of all possible output values.

solution

The function

(

)

represents the number of plates Marvin must wash for an event with

tables. The domain of

(

)

is the set of values that can be used for

Depending on the event, the hall will set anywhere from 20 to 50 tables. So, the values of

can be any whole number from 20 (the minimum number of tables the hall will set) to 50 (the maximum number of tables the hall will set).

In other words, the domain of

(

)

is all whole numbers from 20 to

50.

Looking for more? Try these:

Lesson: Domain and range

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M.2Domain and range of relations

Lesson: Domain and range

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